What are the Benefits of Self-Directed Learning in Math and Physics?

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I'm a teenager eager to learn more about math and physics. As a self-directed learner, I'm particularly interested in calculus and linear algebra. I'm thrilled to be part of this community and look forward to gaining knowledge and engaging in enriching discussions. Your expertise and insights will be invaluable to my growth. Thank you in advance for your guidance!
 
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Welcome to PF; it's good to have you here! :smile:
 

Thread 'Introduction: Independent Researcher in Foundational Physics'

Hello everyone, I was advised to join this community while seeking guidance on how to navigate the academic world as an independent researcher. My name is Omar, and I'm based in Groningen The Netherlands. My formal physics education ended after high school, but I have dedicated the last several years to developing a theoretical framework from first principles. My work focuses on a topological field theory (which I call Swirl-String Theory) that models particles as knotted vortex...
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